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JEE Main 2025 Admit Card Session 2 for BTech Released – Download Hall Ticket at jeemain.nta.nic.in
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- Evaluation of Definite Integrals by Substitution - Practice Questions & MCQ
Evaluation of Definite Integrals by Substitution - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
-
29 Questions around this concept.
Solve by difficulty
The solution for of the equation
is
The value of
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The value of the integral
is
Concepts Covered - 1
Evaluation of Definite Integrals by Substitution
We have already learned to find Indefinite Integration by using the substitution method. But in the case of definite integration, we also need to change the limits of integration 'a' and 'b'. If we substitute x = g(t), then g(t) must be continuous in the interval [a, b].
Let's look at some examples of how such questions are solved.
Example 1
Compute the integral
Let
Divide numerator and denominator by
Put
We find the new limits of integration
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